76886900 has 18 divisors (see below), whose sum is σ = 166844790. Its totient is φ = 30754720.

The previous prime is 76886891. The next prime is 76886911. The reversal of 76886900 is 968867.

It can be written as a sum of positive squares in 3 ways, for example, as 394384 + 76492516 = 628^2 + 8746^2 .

It is a super-2 number, since 2×76886900² = 11823190783220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 384335 + ... + 384534.

It is an arithmetic number, because the mean of its divisors is an integer number (9269155).

Almost surely, 2^76886900 is an apocalyptic number.

It is an amenable number.

76886900 is an abundant number, since it is smaller than the sum of its proper divisors (89957890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76886900 is a wasteful number, since it uses less digits than its factorization.

76886900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768883 (or 768876 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 76886900 is about 8768.5175485939. The cubic root of 76886900 is about 425.2236884747.

The spelling of 76886900 in words is "seventy-six million, eight hundred eighty-six thousand, nine hundred".